On higher derivations and higher homomorphisms of prime rings

On higher derivations and higher homomorphisms of prime rings

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This work consists of three chapters. Chapter one contains fundamental concepts which are basic in our study, we extend N.M.Shammu's theorem to higher N-derivation (by giving the definition of higher N-derivation) and we have answered to the question of Haetinger and Cortes whether the result of Ferro and Haetinger is also true for Jordan generalized triple higher derivation. Chapter two is concerned with higher (U,R) -derivation and generalized higher (U,R) -derivation. We extend and generalized R. Awtar's theorem of derivation of prime ring by giving the concepts of (U,R)-derivation and gene...